Question

Mark the correct relationship from the following :

• A. Equilibrium constant is related to $emf$ as $log\,K=\frac{nFE}{2.303RT}$
• B. $EMF$ of a cell $Zn\left|Zn^{2+}_{\left(a_1\right)}\right|\left|Cu^{2+}_{\left(a_2\right)}\right|Cu$ is
  $E=E^{\circ}-\frac{0.591}{n} log \frac{\left[a_{2}\right]}{\left[a_{1}\right]}$
• C. Nernst equation is
  $E_{cell}=E^{\circ}_{cell}-\frac{0.0591}{n} log \frac{\text{[Products]}}{\text{[Reactants]}}$
• D. For the electrode $M^{n+}/M$ at $273\,K$
  $E=E^{\circ}+\frac{0.591}{n} log \left[M^{n+}\right]$

Answer 1

Answer: (C)

$\left(a\right)\,log \,K=\frac{nFE^{\circ}_{cell}}{2.303\,RT}$
$\left(b\right)\,E_{cell}=E^{\circ}_{cell}-\frac{0.0591}{2} log \frac{\left[a_{1}\right]}{\left[a_{2}\right]}$
$(d)$ Expression is valid at $298 \,K$, not at $273\, K$.